If me and my brother pay for groceries and the total was 443 and I pay 243 and he pays 200 but we get paid back 75 each how much should I get paid

Answers

Answer 1
If you mean 75% of what you paid (which is 243) *separately* then it is 182.25$

Related Questions

5) Simplify the expression and identify any restrictions on x. ​

Answers

Answer:

attached in the file

is this a proportional relationship? ​

Answers

Answer:

Step-by-step explanation:

i don't think so

Michael swam 2,000 yards on each of eighteen days.
The scatterplot above shows his swim time for and
corresponding heart rate after each swim. The line of
best fit for the data is also shown. For the swim that
took 34 minutes, Michael's actual heart rate was
about how many beats per minutes less than the rate
predicted by the line of best fit?
A) 1
B) 2
C) 3
D) 4

Answers

Michael's actual heart rate was about 2 beats per minutes less than the rate predicted by the line of best fit. The correct option is B

What is a scatterplot?

A scatterplot is a data visualization that depicts the relationship between two numerical variables. Each dataset member is plotted as a point whose x-y coordinates correspond to its values for the two variables.

On each of the eighteen days, Michael swam 2,000 yards. The scatterplot above depicts his swim time and heart rate after each swim. The data's best fit line is also shown.

From the graph the actual heart rate=150

but calculated heart rate from best fit line=148

Difference between actual and calculated=150−148=2

Option B is correct.

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a penny is thrown from the top of a 52.6-meter building and hits the ground 3.31 seconds after it was thrown. the penny reached its maximum height above the ground 0.85 seconds after it was thrown. define a quadratic function, h , that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t.

Answers

The quadratic function which models the motion of the penny is

h(t) = -4.9t² -0.327761 t + 52.6  

and the maximum height reached is 57.43

h(t) = - 0.5gt² + vt + h

g = 9.8 m/s²

h = 52.6 m

v = ?

For v,

h(t) = -0.5gt² + vt + 52.6

h(t) = - 4.9t² + vt + 52.6

Time when penny hits the ground ; t = 3.31

h(3.31) = 0

0 = -4.9(3.31)² + v(3.31) + 52.6

0 = -53.68489 + 3.31v +52.6

3.31v = -1.08489

v = -1.08489/3.31

v = -0.327761 m/s

Therefore,

h(t) = -4.9t² -0.327761 t + 52.6

2.) Maximum height of the penny above the ground

t = 0.85 seconds

h(0.85) = -4.9(0.85^2)-0.327761 (0.85) + 52.6

Maximum height reached =  57.43 meters

Therefore, the maximum height reached is 57.43 meters.

An object changing its position with regard to time is referred to as motion. Motion is mathematically characterised in terms of displacement, distance, velocity, acceleration, and speed as well as the observer's frame of reference and the measurement of the change in the body's position with respect to that frame over time. Kinematics is the area of physics that studies how motion is affected by forces, whereas dynamics is the area that studies how motion is affected by forces.

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find the derivatives of cos ​

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Step by step solution is above

The table shows the ingredients for one batch of barbecue sauce. Anne has 9 cups of ketchup and makes the greatest number of whole batches of barbecue sauce possible. How much ketchup remains?

Answers

Answer:

hi do you mind making the question a bit clear? where is the table?

Step-by-step explanation:

What is the domain of the function

f(x) = 2x + 3

when the range is {3, 5, 9}?

Answers

Answer:

Domain: {9, 13, 21}

Step-by-step explanation:

BRAINLIEST PLEASE!!!

Answer:

(0,1,3)

Step-by-step explanation:

f(x)=2x+3let y= f(x)y=2x+3interchanging x and y in the expression x=2y+3making y the subject in the equation y=(x-3)/2f(x)-¹=(x-3)/2when x= 3 =(3-3)/2 =0

when x=5 =(5-3)/2 = 1

when x= 9 =(9-3)/2 = 3

A construction company in Florida is struggling to sell condominiums. The company believes that it will be able to get an average sale price of $210,000. Let the price of these condominiums in the next quarter be normally distributed with a standard deviation of $15,000. [You may find it useful to reference the z table.]a. What is the probability that the condominium will sell at a price (i) below $200,000? (ii) above $240,000? (Round your final answers to 4 decimal places.)b. The company is also trying to sell an artist’s condo. Potential buyers will find the unusual features of this condo either pleasing or objectionable. The manager expects the average sale price of this condo to be the same as others at $210,000, but with a higher standard deviation of $20,000. What is the probability that this condo will sell at a price (i) Below $200,000? (ii) Above $240,000? (Round your answers to 4 decimal places.)

Answers

At a standard deviation of $15,000, the probability that the condominium will sell at a price below $200,000 is 0.2525 and above $240,000 is 0.02. At a standard deviation of $20,000, the probability that the condominium will sell at a price below $200,000 is 0.3085 and above $240,000 is 0.0668.

From the given question;

Let the average sale price(μ)=210,000

Standard Deviation(σ)=$15,000

(a) We have to find the probability that the condominium will sell at a price.

(i) below $200,000, i.e. P(x<200,000)

Z=(x−μ)/σ

Z=(200,000−210,000)/15,000

Z= −10,000/15000

Z= −0.67

Now finding P(x<200,000) is same as finding P(Z<−0.67) using the standard table of z.

P(Z<−0.67) = 0.2525

(ii) above $240,000, i.e. P(x>240,000)

Z=(x−μ)/σ

Z=(240,000−210,000)/15,000

Z= 30,000/15000

Z= 2

Now finding P(x>240,000) is same as finding P(Z>2) using the standard table of z.

P(Z>240,000)=P(Z>2)

P(Z>240,000)=1−P(Z<2)

P(z>240,000)=1−0.98

P(z>240,000)=0.02

(b) Now the average sale price(μ)=210,000

Standard Deviation(σ)=$20,000

We have to find the probability that the condominium will sell at a price.

(i) below $200,000, i.e. P(x<200,000)

Z=(x−μ)/σ

Z=(200,000−210,000)/20,000

Z= −10,000/20000

Z= −0.5

Now finding P(x<200,000) is same as finding P(Z<−0.5) using the standard table of z.

P(Z<−0.5) = 0.2085

(ii) above $240,000, i.e. P(x>240,000)

Z=(x−μ)/σ

Z=(240,000−210,000)/20,000

Z= 30,000/20000

Z= 1.5

Now finding P(x>240,000) is same as finding P(Z>1.5) using the standard table of z.

P(Z>240,000)=P(Z>1.5)

P(Z>240,000)=1−P(Z<1.5)

P(z>240,000)=1−0.93319

P(z>240,000)=0.0668

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if the mean and mode are 15 and 10, respectively, then determine the potential range of the median for a positively skewed distribution

Answers

The median will be greater than 10 and less than 15.

Given,

The mean of the skewed distribution = 15

The mode of the skewed distribution = 10

We have to find the potential range of the median for a positively skewed distribution;

Here,

The empirical relationship between mean, median, and mode for a frequency distribution that is positively skewed is mean > median > mode. Based on this, the range of the median is 15 > median > 10 if the mean is 15 and the mode is 10.

Therefore,

The median will  be higher than 10 and lower than 15.

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From a pack of 52 card, two are drawn, one after another at random. Find the probability that the firt one i a 7 and the econd i a 6. (There are 4 7' and 4 6' in a pack)

Answers

The probabilty that the first card is 7 and the second card is 6 numbered would be 0.0059.

What is probability?

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

It is given that there is a deck of 52 cards.

So sample space (n) = 52.

Now in the first draw, 7 numbered card should be drawn

and there are four 7 numbered cards in a deck of 52 cards

so probability of drawing a 7 numbered card will be = 4/52 = 2/26

Now in the second draw, 6 numbered cards should be drawn

and there are four 6 numbered cards in a deck of 52 cards but already one card is drawn so there will be 51 cards remaining in the deck.

so probability of drawing a 6 numbered card will be = 4/51

Hence the probability that the first card is 7 and the second card is 6 numbered will be = 2/26 * 4/51

                             = 0.076 * 0.078

                             = 0.0059

Hence, the probabilty that the first card is 7 and the second card is 6 numbered would be 0.0059.

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Suppose that f is an exponential function with growth factor 2.4 and that f(0) = 3. Find f(3)

Answers

For the given exponential function, the value of f(3) would be f(3) = 41.472.

What is an exponential function?

The exponential function is a mathematical function that is represented by f(x)= e^x. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.

The given function would be [tex]f(x)=ab^x[/tex].

The growth factor is b = 2.4

            [tex]f(0) = ab^0\\\\a=3\\[/tex]

Now find f(3),

                [tex]f(3)=3.(2.4)^x\\\\ f(3) = 3*(2.4)^3\\\\\f(3) = 41.472[/tex]

Hence, the value of f(3) would be f(3) = 41.472.

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Need help ASAP
2^7x2^-2 +2^9/2^4 +2^3/2^-2
Show that C = a×2^b where a and b are two integers to be determined​

Answers

The problem is based on laws of exponents and answer to this Question is a = 2 and b = 14

What are laws of exponents?

Laws which are used to solve the problems including the exponents are called laws of exponents

Solution:

As we can clearly see in whole expression 2 is present in every term

By laws of Exponents we can take 2 common out and we can easily express this thing in given form that a multiplied 2 rays to power b

When we solve this expression we get

this expression equal to 2^15

which we can write 2×2^14

hence on comparing we get a = 2 and b = 14

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A landscaper digs a rectangular region for a garden. The length is a one-digit whole number of meters. What is the least possible area? What is the greatest possible area?

Answers

The least possible area is 0 meter² and the greatest possible area is 49.5metre².

What is a rectangle?

With four sides, four corners, and four right angles (90°), a rectangle is a closed 2-D object.

A rectangle has equal and parallel opposing sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's length is its longer side, while its width is its shorter side.

A little information

1) Parallelograms are all squares, yet squares are all not parallelograms

2) A rectangle is divided into four triangles by its diagonals.

3) While not all rectangles are squares, all squares are rectangles.

How to solve?

Area of rectangle is given by = length × breadth.

For minimum area, we have one digit whole number.

In whole number smallest digit is 0

so, least possible area =0×breadth=0 metres²,

Now talking about maximum possible area, the greatest one digit whole number is 9.

width of rectangular region is 5.5 meters.

The greatest possible area is =9×5.5=49.5meters².

Hence, the answers are 0 and 49.5 meters².

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(Complete question) is:

A landscaper digs a rectangular region for a garden. The length is a one digit whole number of meters and width is 5.5 meters. What is the least possible area? What is the greatest possible area?

2 square root 3 multiplied by 3 square root 8

Answers

Answer:

Step-by-step explanation:

12 root 6 is the answer because the 3 root 8 can be simplified to 6 root 2, so you when you multiply 2 root 3 with 3 root 8, you get 12 root 6.

Answer:

[tex]12\sqrt{6}[/tex]

Step-by-step explanation:

Given expression:

[tex]2 \sqrt{3} \cdot 3 \sqrt{8}[/tex]

Multiply the numbers 2 and 3:

[tex]\implies 6\sqrt{3}\sqrt{8}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}:[/tex]

[tex]\implies 6\sqrt{3 \cdot 8}[/tex]

Simplify:

[tex]\implies 6\sqrt{24}[/tex]

Rewrite 24 as 4 · 6:

[tex]\implies 6\sqrt{4 \cdot 6}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\implies 6\sqrt{4}\sqrt{6}[/tex]

Rewrite 4 as 2²:

[tex]\implies 6\sqrt{2^2}\sqrt{6}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:[/tex]

[tex]\implies 6 \cdot 2 \sqrt{6}[/tex]

Multiply the numbers 6 and 2:

[tex]\implies 12 \sqrt{6}[/tex]

Make x the subject of m=n+x/p

Answers

Answer:

x=mp-n

Step-by-step explanation:

Switch sides:

(n+x)/p=m

Then multiply both sides by p:

n+x=mp

Move n to the other side:

x=mp-n

3x-5y=15
x-4y=12
solve with substitution
system of equations

Answers

The solution of the equations 3x - 5y = 15 and x - 4y = 12 will be (0, -3).

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The system of equations is given below.

3x - 5y = 15         ...1

x - 4y = 12          ...2

From equation 2, then we have

x = 4y + 12  

Put in equation 1, then we have

3(4y + 12) - 5y = 15

12y + 36 - 5y = 15

7y = -21

y = - 3

Then the value of the variable 'x' is calculated as,

x = 4(-3) + 12

x = - 12 + 12

x = 0

The solution of the equations 3x - 5y = 15 and x - 4y = 12 will be (0, -3).

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The volume of a sphere with radius x is 3x³ units, and the volume of
a cube with side length x is x³ units³.
a. Find the total combined volume of the sphere and cube.
b. How much more volume does the sphere contains

Answers

V = 4/3 r3, where V is the volume and r is the radius, is the formula for a sphere's volume. A sphere's radius is equal to half of its diameter.

How do you find the volume of a sphere?Every point on the volume's surface will be equally far from its centre if the surface area is doubled by the diameter. The formula shown below is used mathematically to determine a sphere's volume: The formula for a sphere's volume is 4/3 r3, where r is the sphere's radius.In On Sphere and Cylinder, where Archimedes firmly demonstrated that VS:VC=2:3, where VS is the volume of a sphere and VC is the volume of the circumscribed cylinder, was undoubtedly the first significant step (he also gave proportion for the surface area).The Radius of a circle or sphere is equal to the Diameter divided by 2.

Given data :

radius = 3x²

volume of sphere =  V = 4/3 π r³

v = 4 x π x (3x²)[tex]{3}[/tex] / 3

= 4π.[tex]x^{5}[/tex]

volume of cube = side3

= (x²)[tex]^{3}[/tex]

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Identify the sampling technique used in the given scenario. The English department is interested in overall performance in its entry-level 101 course. The department chair selects every tenth student's final grade from a list of all students enrolled in the course and calculates the average final grade.

Answers

The sampling technique used in the given scenario is Systematic sampling technique.

Systematic sampling technique

Systematic sampling is a probability sampling technique in which researchers randomly choose individuals of a population at regular intervals. The sampling interval, or fixed periodic interval, is calculated by dividing the population size by the required sample size.

Types of Systematic sampling technique

A systematic sample can be generated in three ways:

Systematic random sampling: The most common type of systematic sampling in which the subject is chosen at a predefined interval.

Linear systematic sampling: Instead of picking the sample interval at random, a skip pattern is constructed by following a linear path.

Circular systematic sampling: It occurs when a sample begins from the same spot where it ends.

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A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If
x machines are made, then the unit cost is given by the function C(x)=1.2²-600x+82,738. What is the minimum unit cost?
Do not round your answer.

Answers

The minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738

What is meant by unit cost?

A company's unit cost is the cost of producing, storing, and selling one unit of a specific product. Unit costs encompass all fixed and variable production costs. A cost unit is a quantity measuring unit for a product or service.

A unit cost is the overall cost incurred by a business to manufacture, store, and sell one unit of a specific product or service. Unit costs are the same as cost of goods sold (COGS). This accounting metric incorporates all fixed and variable expenses related with the manufacture of a good or service.

Given,

C(x)=1.2x²-600x+82,738

Minimum value [tex]C_{min}[/tex]=c-(b²/4a)

Where a=1.2, b=-600, c=82738

[tex]C(x)_{min}[/tex]=82738-((-600)²/4(1.2))

=82738-(360000/4.8)

=7738

Therefore, the minimum unit cost is 7738.

Hence, the minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738

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Student are going on a field trip to a play. The play i elling kid ticket and adult ticket. They old a total of 60 ticket. One kid ticket ell for $3 while the adult ticket i $5. They made a profit of $220 that day. How many kid ticket were old?

Answers

Number of kids ticket is 40

What do you mean by system of linear equation?

A set of two linear equations with two variables is a system of linear equations. There are infinitely many possible solutions to a linear equation with two variables. There can be a single solution to a system of two linear equations with two variables that satisfies both solutions. It is necessary to combine two equations with two variables into one equation with one variable while solving a system of equations.

Total number of tickets = 60

Cost of 1 kid ticket = $3

Cost of 1 adult ticket = $5

Total profit = $220

Let number of kid tickets = x

number of adult tickets = y

According to question:

x + y = 60 ......(1)

3x + 5y = 220 ........(2)

Substitute the value of x from eq(1) to eq(2)

3(60 - y) + 5y = 220

180 - 3y + 5y = 220

180 + 2y = 220

2y = 220 - 180

2y = 40

y = 40/2

y = 20

Substitute this value of y in eq(1)

x + 20 = 60

x = 60 - 20

x = 40

Therefore, number of kids ticket is 40

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what is the ratio of cups to flour to eggs

Answers

Answer:

Step-by-step explanation:

Answer= use 2 eggs per 1 cup of flour to make 1 serving.

Given the following Venn diagram:



Find M N.

Answers

From the given Venn diagram, the value of  M∩N={4,7}.

What is a Venn diagram?

A Venn diagram is a prominent diagram type that depicts the logical relationship between sets. It was popularized in the 1880s by John Venn (1834-1923). The diagrams are used to teach elementary set theory and to show simple set relationships in probability, logic, statistics, linguistics, and computer science. To depict sets, a Venn diagram uses basic closed curves drawn on a plane. These curves are almost often circles or ellipses.

Before Venn, similar concepts had been presented. Similar ideas were proposed by Christian Weise in 1712 and Leonhard Euler (Letters to a German Princess) in 1768. Venn popularized the concept in Symbolic Logic, Chapter V "Diagrammatic Representation," 1881.

The intersection of two sets is the set of all the elements that are shared by both.

M={4,7,9,3}

N={4,7,6}

Because M and N share the numbers 4 and 7, M∩N={4,7}.

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Rewrite the equation shown in slope-intercept form. Identify the slope of the equation, the xintercept and the y-intercept. Then graph the equation. Make sure to show all your work in the
spaces provided.

Answers

Answer:

x^2 + 10

Step-by-step explanation:

The table below shows a proportional relationship between y and z.
Y
72
99
153
N
8
11
17
Find the constant of proportionality from y to z.
Express your answer as a fraction in reduced terms.

Answers

Consta8of proportionality is 1/9

*16 (b)
(√3-1) cm
A
75°
B
You are given that sin 75º =
5√2 cm
√3+1
2√2
Show that the area of triangle ABC is 2½ cm²
Nof
acc
C

Answers

Answer:

Step-by-step explanation:

78 sin

(+0

The graph of g(x) was obtained by translating the graph of f(x). Based on the graph, which equation can be used to describe g(x) in terms of f(x) ?
A g(x)=-f(x+2)+1
C g(x)=f(x+2)+1
B g(x)=-f(x-2)+1
D g(x)=f(x-2)+1

Answers

The equation that can be used to describe g(x) in terms of f(x), considering the transformations, is given as follows:

A. g(x)=-f(x+2)+1.

What are the transformations?

From the image given at the end of the answer, the function f(x) is given as follows:

f(x) = x².

The transformations to obtain function g(x) are given as follows:

Reflection over the x-axis, hence g(x) = -f(x).Shift right by 2 units, hence the transformation is: x -> x - 2.Shift up by 1 unit, hence g(x) - > -f(x - 2) + 1.

Meaning that option A gives the correct option to describe the function g(x) as a function of the function f(x).

Missing Information

The functions are given by the image presented at the end of the answer.

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A ladder leans against a wall inside a spaceship. From the point of view of a person on the ship, the base of the ladder is 2.70 m from the wall, and the top of the ladder is 5.13 m above the floor. The spaceship moves past the Earth with a speed of 0.85c in a direction parallel to the floor of the ship. Find the angle the ladder makes with the floor, as seen by an observer on Earth.

Answers

Angle of the ladder with the floor is 74.5°.

We have given that,

base of the ladder from the wall, x₀ = 2.70 m

top of the ladder above the floor y = 5.13 m

speed of the spaceship = 0.85 c

and we have to find the angle ladder makes with the floor, θ.

From the given information we will construct a diagram.

From the diagram,

tanθ = y/x₀

tanθ = y / x₀√(1- V^2 / c^2)

we will substitute all the values,

tanθ = 5.13 / 2.70√(1-((0.85c)^2 / c^2))

        = 5.13 / 2.70√(1-(0.85^2))

        = 5.13 / 2.70√(1 - 0.7225)

        = 5.13 / 2.70√0.2775

        = 5.13 / 1.4223

tanθ = 3.606

    θ = tan⁻¹(3.606)

    θ = 74.5°

Therefore angle the ladder makes with the floor is 74.5°.

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a study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil.

Answers

The response variable in this study is

Yield of crop.

"Information available from the question"

In the question:

A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil.

Now, According to the question:

Let's know:

What is called fertilizer?

A fertiliser is a natural or artificial substance containing chemical elements (such as Nitrogen (N), Phosphorus (P) and Potassium (K)) that improve growth and productiveness of plants. Some synonyms include the terms "enrichment" or "plant nutrient".

The answer is:

Yield of crop.

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The complete question is this:

A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil. The response variable in this study is

jasmine is 5 years younger than twice her sister age of jasmine sister 22 year old then how old is jasmine

Answers

Answer:

100000000000000000000000000

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think the answer is 12

If the lowest price in the past year occurred 35 days ago, find the approximate average change per day since then. a. $2.08 b. $2.64 c. $0.90 d. $2.99

Answers

The approximate change per day since the lowest price occurred 35 days ago, is a. $2.08.

How to find the approximate average change?

The approximate average change can be found by the formula :

= ( Current price of stock - Lowest price ) / Number of days since lowest price

Current price of Dagofi Radar stock = $ 130. 58 closing price

Lowest price = $ 57. 71

The approximate average change is:

= ( 130. 58 - 57. 71) / 35

= 72. 87 / 35

= $ 2.08

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Missing part of question:
Consider today's stock listing for Dagofi Radar, shown below.

52 wk High

52 wk Low

Symbol

Div.

Close

Net Change

162.22

57.71

DFR

9.75

130.58

-2.64

Other Questions
According to the different kinds of social support, _________ involves making conversation, recreation, and even going shopping with someone. the neuroscience research on the executive attention network shows that this system Write a statement that calls the recursive method backwardsAlphabet() with parameter startingLetter.Using eclipse/Java language. This is the code my textbook gives me to complete:public class RecursiveCalls {public static void backwardsAlphabet(char currLetter) {if (currLetter == 'a') {System.out.println(currLetter);}else {System.out.print(currLetter + " ");backwardsAlphabet(--currLetter);}return;}public static void main (String [] args) {char startingLetter = '-';startingLetter = 'z';/* Your solution goes here */return;}} FILL IN THE BLANK. power supplies all provide the same voltages to a system, such as 3.3v, 5v, and 12v. each of these can be referred to as a___, because each one comes from a specific tap within the power supply. What is the function of glucagon What does Prufrock reveal about himself? the president of your small company wants to better understand the basis on which you select your promotion mix. you indicate that the selection of promotion-mix ingredients and the degree to which they are used depend on all of the following except the . TRUE/FALSE. Boycotting means that workers walk away from their jobs and refuse to return until a labor-management dispute has been resolved. Using a drawing, compare the atomic radius of the following elements. Be sure your drawing ranks them from smallest radius to largest radius.PotassiumSodiumSulfur Selenium abe's steakhouse is the largest upscale steakhouse company in the united states, based on total company- and franchisee-owned restaurants. the company's menu features a broad selection of high-quality steaks and other premium offerings. assume the information below is from a recent annual report: common stock, $0.01 par value; 100,030,000 shares authorized; 23,563,356 issued and outstanding at the end of the current year; 23,375,356 issued and outstanding at the end of last year. additional paid-in capital: $199,389,000 at the end of the current year and $170,431,000 at the end of last year. accumulated deficit: ($82,097,000) at the end of last year. in the current year, net income was $54,383,000 and a cash dividend of $7,138,000 was paid. Sample Test 4: Cartesian GraphingScore: 38 / 200 \quad 4 / 20 answeredQuestion 14Determine the slope of the line represented by the equation: 3 x+1 y=3Slope DO NOT USE 1 AS THE DENOMINATOR!Write answer as an integer or a reduced fraction. are investment funds controlled by governments and funded from national reserves, pension funds, and other monies owned by the government. choose the best lewis structure for icl5 in preparing a company's statement of cash flows for the most recent year using the indirect method, the following information is available: Net income for the year was $52,000 Accounts payable decreased by 18,000 Accounts receivable increased by 25,000 Inventories increased by 5,000 Cash dividends paid were 14,000 Depreciation expense was 20,000 Net cash provided by operating activities was: Multiple Choice $70,000 $24.000 Multiple Choice $70,000. $24,000. $110,000 $120,000 $71,000 how can the Rapid population growth can be controlled which principle underlies cognitive therapy Did Ophelia sleep with Hamlet? A rectangular parking lot has an area of 2/3 of a square kilometer. The width is 1/2 of a kilometer. What is the length, in kilometers, of the parking lot?Group of answer choices5/3 km2/3 km1/3 km4/3 km when constructing a punnett square, the symbols on the outside of the boxes represent FITB , while those inside the boxes represent FITB . Which of the following is not true about static methods? a. It is not necessary for an instance of the class to be created to execute the method. b. They are created by placing the key word static after the access specifier in the method header c. They are called from an instance of the class. d. They are often used to create utility classes that perform operations on data, but have no need to collect and store data.